9514 1404 393
Answer:
coterminal angle: 98°
reference angle: 82°
Step-by-step explanation:
Adding 360° × 3 = 1080° brings the angle into the range 0-360°.
The coterminal angle is -982 +1080° = 98°
This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.
If there are 82 students and they read 1000 books what is the average number of books the students read round it to the nearest whole number
Answer:
12 books read per student
Step-by-step explanation:
1000 divided by 82 is close to 12
Answer:
12 books
Step-by-step explanation:
Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".
Step 1: Divide 1000 by 82
[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]
Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.
Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number
[tex]12.1951219512 \\= 12[/tex]
Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
I need to know the answer for this so please help
Answer:
(2,-1) _______________
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
Hello can someone answer this question please
1/4 = 0.25 is the largest value..
It is right answer....
Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?
Answer:
the whole gallon
1/3 + 2/3 = 3/3
14. Which makes the number sentence true?
12 - 3= 7+_
What is greater 4.58 or 4.563
Answer:
4.58 is greater then 4.563
Answer:
4.58
Step-by-step explanation:
think of it like this: 58 hundredths is larger than 56 hundredths
9:25 p.m. in 24 hour time is written a
Answer:
21:25
Step-by-step explanation:
9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.
You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph
Answer:
Hi there, mizuki here to answer
The correct answer should be:(-1, -4)
I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])
Step-by-step explanation:
Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
How to write a system of linear equations in matrix form?Three easy steps must be taken in order to express any system of linear equations in matrix form:
1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.
2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.
3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.
How to solve this problem?Given system of linear equations:
4x - 2y = -7
0x + 3y = 5
The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].
The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].
[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]
The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.
Learn more about matrix here -
https://brainly.com/question/19683437
#SPJ2
Helppp find the value of y lamooooo
Answer:
4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)
so, solving that eq,
4x-2x = 9+13 (grouping variables and constants)
2x=22
x=11
also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)
so, solving for x in 2x+9,
2(11)+9 = 22+9 = 31°
now, 31 + 3y+2 = 180
3y = 180 - 33
y = 147/3 = 49
(hoping you understood the calculations :)
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
what is the maximum height (h) of the function h=-16t^2+20t+6
plz plz show ur work
Answer: hi there is think that I can help you with your problem!
h = -16t^ 2 + 20t + 6 ....the ball will hit the ground when h = 0
0 = -16t^2 + 20t + 6 factor
0 = ( -8t - 2 ) ( 2t - 3) set each factor to 0
-8t - 2 = 0 and 2t - 3 = 0
-8t = 2 2t = 3
t = -2/8 = - 1/4 sec [reject] t = 3/2 sec = 1.5 sec
Max ht will be reached at [ -b / 2a ] sec = -20 / [ 2(-16)] = 20/32 = 5/8 sec
Step-by-step explanation:
-16t^2+20t+6 = 0
will give you the times that the ball is on the ground. The negative root accounts for the fact that the ball is 6 feet above ground at t=0.
I get t=3/2 and t=-1/4
-2(2t -3) (4t +1) = 0
2t -3 = 0
2t-3 + 3 = 0 + 3
2t = 3
t = 3/2 second
I hope that I helped you and have a nice day.
Rewrite the expression in the form
The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
$59.00
$63.00
O $65.00
O $76.00
Answer:
Step-by-step explanation:
57 divided by 6 = 7.5
9.5 x 8 = $76
Answer:
D.$76.00
Step-by-step explanation:
Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell the
bracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn per
hour?
Answer:
$1
Step-by-step explanation:
4 x 5 = 20
20 - 12 = 8
4 x 2 = 8
8/8=1
Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filed
against them. Quintin suspects that this figure is higher in his state. He obtains a random sample of records
for 500 officers from the approximately 20,000 officers in his state. He wants to use these data to test
H : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who have
had a formal complaint filed against them.
Which conditions for performing this type of significance test have been met?
Answer:
A, B, C
Step-by-step explanation:
Got it right on khan academy
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
Answer:
The area of the kite is 27.6 cm²
Step-by-step explanation:
Given;
dimension of the equilateral triangle, = 6 cm
dimension of the isosceles triangle = 5 cm
Please check the image uploaded for a detailed solution.
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7
============================================================
Explanation:
Compare the given equation to the vertex form y = a(x-h)^2 + k
You'll see that a = 3, h = 4 and k = 7
The vertex is (h,k) = (4,7)
The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.
The value of 'a' also determines how vertically stretched or compressed the parabola is.
Answer:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.
ILL GIVE BRAINLIEST
ILL GIVE BRAINLIEST!
Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirror
images of each other?
Α. 0
B. 1
C. 2
D. 3
Answer: He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.
Hope this helped!
Please give brainliest!
what is the measure of
Answer:
88 degrees
Step-by-step explanation:
Since x and z have the same angel their degrees is the same
Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/
1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So
[tex]p = \frac{50}{500} = 0.1[/tex]
0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So
[tex]p = \frac{200}{500} = 0.4[/tex]
0.4 = 40% probability of a tip of up to $50.
HELP!!!
What is the Area!
Answer:
0.375
Step-by-step explanation:
1*3/4*1/2=0.375
A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?
Answer:
15 inches tall
Step-by-step explanation:
every 3 inches increased, the width increases by 5.
The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.
Answer:
92 dB
Step-by-step explanation:
Fsf
Answer:
[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]